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Finding the Fourth Proportional to 3,809.69, 5,257.47 and 2,131.16

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Solution

The fourth proportional to 3,809.69, 5,257.47 and 2,131.16 is: 2,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.69 : 5,257.47 = 2,131.16 : x
  2. Step 2: Convert to fraction form
    3,809.69/5,257.47 = 2,131.16/x
  3. Step 3: Cross multiply
    3,809.69x = 5,257.47 × 2,131.16
  4. Step 4: Simplify right side
    3,809.69x = 11,204,509.77
  5. Step 5: Solve for x
    x = 11,204,509.77/3,809.69
  6. Step 6: Final answer
    x = 2,941.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.